用专家知识约束形状优化,提升设计可靠性与精度。
Knowledge-Constrained Shape Optimization with a Mixture-of-Experts Neural Operator for High-Confidence Design

- 将工程经验转化为可量化参数,实现可控的形状优化。
- 在异构数据上达成1.16%的阻力预测误差和94.34%趋势预测准确率。
- 适合需要高置信度设计的汽车空气动力学优化场景。
工程形状优化面临专家依赖的问题设定和代理模型可靠性不足的挑战。实际气动设计中,可编辑区域、变形范围及设计保持约束通常由资深工程师手动设定;而基于代理模型的优化在异构几何数据库和分布外设计下可能不可靠。为此,本文提出一种知识约束的形状优化框架,将知识型约束与用户意图转化为基于DFFD的变形算子的可量化参数,实现工程感知且可控的约束优化。进一步构建了混合专家神经算子(MoE-NO),以提升在异构气动数据集上的阻力预测性能与趋势一致性。结合MoE-NO编码器与马氏距离,引入不确定性估计策略,识别分布外几何,并选择性触发物理求解器反馈以局部增强样本。在自研MPV、SUV和轿车数据集上的实验表明,MoE-NO在测试集上达到1.16%的MAPE与94.34%的趋势预测准确率,优于最佳基线的1.52%与90.34%。车辆形状优化实验进一步获得约4%至10%的CFD验证阻力系数降低。
原文摘要 · Abstract (English)
Engineering shape optimization faces challenges in both expert-dependent problem setup and surrogate-model reliability. In practical aerodynamic design, optimization settings such as editable regions, deformation ranges, and design-preservation constraints are typically specified manually by experienced engineers, while surrogate-based optimization may become unreliable for heterogeneous geometry databases and out-of-distribution designs. To address these challenges, we propose a knowledge-constrained shape-optimization framework that translates knowledge-based constraints and user intent into quantifiable parameters of DFFD-based deformation operators, enabling engineering-aware and controllable constrained optimization. We further develop a Mixture-of-Experts Neural Operator (MoE-NO) to improve drag prediction and trend consistency over heterogeneous aerodynamic datasets. Based on the MoE-NO encoder and Mahalanobis distance, an uncertainty-estimation strategy is introduced to detect out-of-distribution geometries and selectively trigger physics-solver feedback for local sample enrichment. Experiments on in-house MPV, SUV, and Sedan datasets show that MoE-NO achieves a test-set MAPE of $1.16\%$ and a trend-prediction accuracy of $94.34\%$, outperforming the best baseline results of $1.52\%$ and $90.34\%$, respectively. Vehicle shape-optimization experiments further yield CFD-validated drag coefficient reductions of approximately $4\%$ to $10\%$.
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